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A282431 Coefficients in q-expansion of E_2^5, where E_2 is the Eisenstein series A006352.

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%I A282431 #12 Feb 27 2018 04:58:18
%S A282431 1,-120,5400,-104160,511800,6770736,-19504800,-452207040,-2959622280,
%T A282431 -12932941080,-44497080432,-129918587040,-335811977760,-788655411600,
%U A282431 -1714912983360,-3498061536576,-6761506680840,-12481939678320,-22138262633160,-37922739116640
%N A282431 Coefficients in q-expansion of E_2^5, where E_2 is the Eisenstein series A006352.
%H A282431 Seiichi Manyama, <a href="/A282431/b282431.txt">Table of n, a(n) for n = 0..1000</a>
%t A282431 terms = 20;
%t A282431 E2[x_] = 1 - 24*Sum[k*x^k/(1 - x^k), {k, 1, terms}];
%t A282431 E2[x]^5 + O[x]^terms // CoefficientList[#, x]& (* _Jean-François Alcover_, Feb 27 2018 *)
%Y A282431 Cf. this sequence (E_2^5), A282015 (E_4^5), A282433 (E_6^5).
%Y A282431 Cf. A006352 (E_2), A281374 (E_2^2), A282018 (E_2^3), A282210 (E_2^4), this sequence (E_2^5).
%K A282431 sign
%O A282431 0,2
%A A282431 _Seiichi Manyama_, Feb 15 2017